What is the 4234th prime number?
The 4234th prime number is 40357. The next prime is 40361 (a gap of 4) and the one before is 40351.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4234th one is 40357.
- 2
40357 is prime because no prime up to ā40357 ā 200.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4234th prime is close to 4234 Ć ln(4234) ā 35358, and here it is 40357.
- 4
40357 has no twin: neither 40355 nor 40359 is prime.
Primes around the 4234th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4231 | 40289 | 6 |
| 4232 | 40343 | 54 |
| 4233 | 40351 | 8 |
| 4234 | 40357 | 6 |
| 4235 | 40361 | 4 |
| 4236 | 40387 | 26 |
| 4237 | 40423 | 36 |
Questions
What is the 4234th prime number?
40357.
Which prime number is 40357?
40357 is the 4234th prime number.
What is the sum of the first 4234 primes?
80,415,897.